Finite-time trajectory tracking control in a task space of robotic manipulators

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• 作者：Mirosław Galicki ^{M.Galicki@ibem.uz.zgora.pl" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Robotic manipulator ; Task space trajectory tracking ; Finite-time control ; Lyapunov stability
• 刊名：Automatica
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：67
• 期：Complete
• 页码：165-170
• 全文大小：516 K

文摘

This work addresses the problem of the accurate task space control subject to finite-time convergence. Dynamic equations of a rigid robotic manipulator are assumed to be uncertain. Moreover, globally unbounded disturbances are allowed to act on the manipulator when tracking the trajectory by the end-effector. Based on suitably defined task space non-singular terminal sliding vector variable and the Lyapunov stability theory, we derive a class of absolutely continuous Jacobian transpose robust controllers, which seem to be effective in counteracting uncertain dynamics, unbounded disturbances and (possible) kinematic and/or algorithmic singularities met on the end-effector trajectory. The numerical simulations carried out for a robotic manipulator of a SCARA type consisting of two revolute kinematic pairs and operating in a two-dimensional task space, illustrate performance of the proposed controllers.